TX pin won't blink (transfer data) using EasyTransfer for handheld device

When data is transmitted on D1 the 'TX' LED flutters with it.

void setup ()
{
  Serial.begin (9600);
}

void loop ()
{
  Serial.print ("00000000");
  delay (1000);
  Serial.print ("00000000");
  delay (4000);
  Serial.print ("0");
  delay (500);
  Serial.print ("0");
  delay (500);  
  Serial.print ("0");
  delay (500);
  Serial.print ("0");
  delay (4000);
}